# Height of Launch

Pro Problems > Math > Calculus > Differential > Max and Min## Height of Launch

A model rocket is launched from a launch pad, and reaches its maximum speed 0.5 seconds into its flight (when the fuel is depleted). At this point, the rocket is 150 feet off the ground, and has a velocity of 400 . Its height off the ground at that point is given by the following formula, in which h represents the height in feet, and t represents the amount of time elapsed after fuel depletion.

ft

s

h(t) = 150 + 400t - 16.1t^{2}

What is the maximum height the rocket attains before it begins to fall to the earth?

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Problem by Mr. Twitchell

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